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Finding the Fourth Proportional to 3,451.98, 5,178.14 and 987.16

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Solution

The fourth proportional to 3,451.98, 5,178.14 and 987.16 is: 1,480.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.98 : 5,178.14 = 987.16 : x
  2. Step 2: Convert to fraction form
    3,451.98/5,178.14 = 987.16/x
  3. Step 3: Cross multiply
    3,451.98x = 5,178.14 × 987.16
  4. Step 4: Simplify right side
    3,451.98x = 5,111,652.68
  5. Step 5: Solve for x
    x = 5,111,652.68/3,451.98
  6. Step 6: Final answer
    x = 1,480.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.